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Decimal expansion of x>0 having 2x^2+x=4*sin(x).
2

%I #6 Mar 30 2012 18:57:54

%S 1,1,1,2,3,4,1,7,4,2,4,1,8,4,5,0,0,0,9,5,3,2,1,0,1,6,8,7,5,6,3,7,5,9,

%T 2,9,9,7,8,5,4,3,8,7,0,5,2,7,8,1,4,4,4,7,5,9,2,2,8,4,4,4,0,5,7,8,4,0,

%U 2,2,2,4,7,2,5,6,5,7,9,2,9,6,1,1,1,8,2,5,1,6,4,3,8,7,2,8,2,5,2

%N Decimal expansion of x>0 having 2x^2+x=4*sin(x).

%C See A198414 for a guide to related sequences. The Mathematica program includes a graph.

%e x=1.112341742418450009532101687563759299...

%t a = 2; b = 1; c = 4;

%t f[x_] := a*x^2 + b*x; g[x_] := c*Sin[x]

%t Plot[{f[x], g[x]}, {x, -.2, 1.5}]

%t r = x /. FindRoot[f[x] == g[x], {x, 1.11, 1.12}, WorkingPrecision -> 110]

%t RealDigits[r] (* A198495 *)

%Y Cf. A198414.

%K nonn,cons

%O 1,4

%A _Clark Kimberling_, Oct 25 2011